Skip to content

An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu PDF

By Liviu Nicolaescu

This self-contained remedy of Morse conception makes a speciality of purposes and is meant for a graduate direction on differential or algebraic topology, and also will be of curiosity to researchers. This is the 1st textbook to incorporate subject matters akin to Morse-Smale flows, Floer homology, min-max concept, second maps and equivariant cohomology, and complicated Morse theory. The reader is anticipated to have a few familiarity with cohomology concept and differential and essential calculus on delicate manifolds.
Some good points of the second one variation comprise extra purposes, resembling  Morse thought and the curvature of  knots, the cohomology of the moduli area of planar polygons, and the Duistermaat-Heckman formulation. the second one version additionally encompasses a new bankruptcy on Morse-Smale flows and Whitney stratifications, many new workouts, and diverse corrections from the 1st edition.

Show description

Read Online or Download An Invitation to Morse Theory (Universitext) PDF

Best geometry & topology books

Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam's Diffeomorphisms of Elliptic 3-Manifolds (Lecture Notes in PDF

This paintings matters the diffeomorphism teams of 3-manifolds, particularly of elliptic 3-manifolds. those are the closed 3-manifolds that admit a Riemannian metric of continuing confident curvature, referred to now to be precisely the closed 3-manifolds that experience a finite basic staff. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry team of M to its diffeomorphism crew is a homotopy equivalence.

Download e-book for kindle: The Homotopy Category of Simply Connected 4-Manifolds by Hans-Joachim Baues,Teimuraz Pirashvili

The homotopy kind of a closed easily attached 4-manifold relies on the intersection shape. The homotopy sessions of maps among such manifolds, although, don't coincide with the algebraic morphisms among intersection types. for that reason the matter arises of computing the homotopy periods of maps algebraically and choosing the legislation of composition for such maps.

Download PDF by Arnaud Beauville,Brendan Hassett,ALEXANDER: Rationality Problems in Algebraic Geometry: Levico Terme,

Supplying an summary of the state-of-the-art on rationality questions in algebraic geometry, this quantity supplies an replace at the newest developments.  It deals a accomplished advent to this attention-grabbing subject, and should definitely develop into a vital reference for anyone operating within the box.

Download PDF by Stephen Huggett: Twistor Theory (Lecture Notes in Pure and Applied

Offers the court cases of the lately held convention on the college of Plymouth. Papers describe contemporary paintings by way of major researchers in twistor thought and canopy a variety of topics, together with conformal invariants, indispensable transforms, Einstein equations, anti-self-dual Riemannian 4-manifolds, deformation thought, four-dimensional conformal buildings, and extra.

Extra resources for An Invitation to Morse Theory (Universitext)

Sample text

Download PDF sample

An Invitation to Morse Theory (Universitext) by Liviu Nicolaescu

by Charles

Rated 4.28 of 5 – based on 43 votes